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Clavis TMUA Set C Paper 2 · Q17

Paper 2Logic & proofGeometryNumber & counting

Let nn be a positive integer.

Which one of the following is a necessary but not sufficient condition for nn to be a perfect square?

Ann is odd
Bnn has an odd number of positive divisors
Cnn is a multiple of 44
Dn+1n+1 is a perfect square
Enn is prime
Fthe last digit of nn is not 22, 33, 77 or 88

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